Search a number
-
+
354065904 = 2434359761
BaseRepresentation
bin10101000110101…
…001110111110000
3220200020102010000
4111012221313300
51211120102104
655044510000
711526340053
oct2506516760
9820212100
10354065904
11171951a55
129a6ab300
135847aa6a
1435048a9a
152113d639
hex151a9df0

354065904 has 100 divisors (see below), whose sum is σ = 1028974320. Its totient is φ = 117538560.

The previous prime is 354065897. The next prime is 354065909. The reversal of 354065904 is 409560453.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354065909) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 464884 + ... + 465644.

Almost surely, 2354065904 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 354065904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514487160).

354065904 is an abundant number, since it is smaller than the sum of its proper divisors (674908416).

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

354065904 is a wasteful number, since it uses less digits than its factorization.

354065904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 354065904 is about 18816.6390197612. The cubic root of 354065904 is about 707.4482918254.

The spelling of 354065904 in words is "three hundred fifty-four million, sixty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 359 432 648 718 761 1077 1296 1436 1522 2154 2283 2872 3044 3231 4308 4566 5744 6088 6462 6849 8616 9132 9693 12176 12924 13698 17232 18264 19386 20547 25848 27396 29079 36528 38772 41094 51696 54792 58158 61641 77544 82188 109584 116316 123282 155088 164376 232632 246564 273199 328752 465264 493128 546398 819597 986256 1092796 1639194 2185592 2458791 3278388 4371184 4917582 6556776 7376373 9835164 13113552 14752746 19670328 22129119 29505492 39340656 44258238 59010984 88516476 118021968 177032952 354065904