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354034896 = 243101103709
BaseRepresentation
bin10101000110100…
…010010011010000
3220200011211120120
4111012202103100
51211113104041
655044110240
711526150465
oct2506422320
9820154516
10354034896
11171930726
129a695380
1358469907
143503b66c
1521134366
hex151a24d0

354034896 has 80 divisors (see below), whose sum is σ = 933928320. Its totient is φ = 115545600.

The previous prime is 354034861. The next prime is 354034927. The reversal of 354034896 is 698430453.

354034896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498990 + ... + 499698.

It is an arithmetic number, because the mean of its divisors is an integer number (11674104).

Almost surely, 2354034896 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 354034896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466964160).

354034896 is an abundant number, since it is smaller than the sum of its proper divisors (579893424).

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

354034896 is a wasteful number, since it uses less digits than its factorization.

354034896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 354034896 is about 18815.8150501114. The cubic root of 354034896 is about 707.4276391759.

The spelling of 354034896 in words is "three hundred fifty-four million, thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 103 202 206 303 309 404 412 606 618 709 808 824 1212 1236 1418 1616 1648 2127 2424 2472 2836 4254 4848 4944 5672 8508 10403 11344 17016 20806 31209 34032 41612 62418 71609 73027 83224 124836 143218 146054 166448 214827 219081 249672 286436 292108 429654 438162 499344 572872 584216 859308 876324 1145744 1168432 1718616 1752648 3437232 3505296 7375727 14751454 22127181 29502908 44254362 59005816 88508724 118011632 177017448 354034896