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102434352 = 24337137421
BaseRepresentation
bin1100001101100…
…00011000110000
321010202012111220
412012300120300
5202210344402
614055305040
72352451266
oct606603060
9233665456
10102434352
1152904499
122a37b180
13182b6857
14d866436
158ed5dbc
hex61b0630

102434352 has 80 divisors (see below), whose sum is σ = 274408032. Its totient is φ = 32901120.

The previous prime is 102434309. The next prime is 102434383. The reversal of 102434352 is 253434201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243102 + ... + 243522.

Almost surely, 2102434352 is an apocalyptic number.

102434352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102434352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137204016).

102434352 is an abundant number, since it is smaller than the sum of its proper divisors (171973680).

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

102434352 is a wasteful number, since it uses less digits than its factorization.

102434352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 102434352 is about 10120.9857227446. The cubic root of 102434352 is about 467.8951478158.

Adding to 102434352 its reverse (253434201), we get a palindrome (355868553).

The spelling of 102434352 in words is "one hundred two million, four hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 137 148 222 274 296 411 421 444 548 592 822 842 888 1096 1263 1644 1684 1776 2192 2526 3288 3368 5052 5069 6576 6736 10104 10138 15207 15577 20208 20276 30414 31154 40552 46731 57677 60828 62308 81104 93462 115354 121656 124616 173031 186924 230708 243312 249232 346062 373848 461416 692124 747696 922832 1384248 2134049 2768496 4268098 6402147 8536196 12804294 17072392 25608588 34144784 51217176 102434352