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34890492 = 22371389359
BaseRepresentation
bin1000010100011…
…0001011111100
32102122121202110
42011012023330
532412443432
63243454020
7602364360
oct205061374
972577673
1034890492
111877081a
12b827310
1372c7c80
1448c32a0
1530e2dcc
hex21462fc

34890492 has 96 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 9073152.

The previous prime is 34890491. The next prime is 34890521. The reversal of 34890492 is 29409843.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 34890492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34890491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97009 + ... + 97367.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 234890492 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 34890492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

34890492 is an abundant number, since it is smaller than the sum of its proper divisors (66715908).

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

34890492 is a wasteful number, since it uses less digits than its factorization.

34890492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 34890492 is about 5906.8174171884. The cubic root of 34890492 is about 326.7651241929.

The spelling of 34890492 in words is "thirty-four million, eight hundred ninety thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 89 91 156 178 182 267 273 356 359 364 534 546 623 718 1068 1077 1092 1157 1246 1436 1869 2154 2314 2492 2513 3471 3738 4308 4628 4667 5026 6942 7476 7539 8099 9334 10052 13884 14001 15078 16198 18668 24297 28002 30156 31951 32396 32669 48594 56004 63902 65338 95853 97188 98007 127804 130676 191706 196014 223657 383412 392028 415363 447314 670971 830726 894628 1246089 1341942 1661452 2492178 2683884 2907541 4984356 5815082 8722623 11630164 17445246 34890492