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34111040 = 265374367
BaseRepresentation
bin1000001000011…
…1111001000000
32101012000112212
42002013321000
532213023130
63215041252
7562640045
oct202077100
971160485
1034111040
1118289147
12b510228
1370b4262
14475d1cc
152edbe95
hex2087e40

34111040 has 112 divisors (see below), whose sum is σ = 86636352. Its totient is φ = 12773376.

The previous prime is 34111039. The next prime is 34111043. The reversal of 34111040 is 4011143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34111043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509087 + ... + 509153.

Almost surely, 234111040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43318176).

34111040 is an abundant number, since it is smaller than the sum of its proper divisors (52525312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34111040 is a wasteful number, since it uses less digits than its factorization.

34111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 34111040 is about 5840.4657348537. The cubic root of 34111040 is about 324.3134699270.

Adding to 34111040 its reverse (4011143), we get a palindrome (38122183).

The spelling of 34111040 in words is "thirty-four million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 43 64 67 74 80 86 134 148 160 172 185 215 268 296 320 335 344 370 430 536 592 670 688 740 860 1072 1184 1340 1376 1480 1591 1720 2144 2368 2479 2680 2752 2881 2960 3182 3440 4288 4958 5360 5762 5920 6364 6880 7955 9916 10720 11524 11840 12395 12728 13760 14405 15910 19832 21440 23048 24790 25456 28810 31820 39664 46096 49580 50912 57620 63640 79328 92192 99160 101824 106597 115240 127280 158656 184384 198320 213194 230480 254560 396640 426388 460960 509120 532985 793280 852776 921920 1065970 1705552 2131940 3411104 4263880 6822208 8527760 17055520 34111040