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354006057834 = 2321113283485977
BaseRepresentation
bin1010010011011000110…
…01111100001101101010
31020211202021212000121100
411021230121330031222
521300001022322314
6430343402222230
734401412562112
oct5115431741552
91224667760540
10354006057834
11127151210950
1258737ab4976
13274c8831450
14131c3922042
15931dac3c09
hex526c67c36a

354006057834 has 96 divisors (see below), whose sum is σ = 904292311104. Its totient is φ = 98672567040.

The previous prime is 354006057799. The next prime is 354006057883. The reversal of 354006057834 is 438750600453.

354006057834 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 0 + 605 + 7 + 8 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 354006057834.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485454 + ... + 971430.

It is an arithmetic number, because the mean of its divisors is an integer number (9419711574).

Almost surely, 2354006057834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354006057834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452146155552).

354006057834 is an abundant number, since it is smaller than the sum of its proper divisors (550286253270).

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

354006057834 is a wasteful number, since it uses less digits than its factorization.

354006057834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486292 (or 486289 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 354006057834 in words is "three hundred fifty-four billion, six million, fifty-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 283 286 429 566 849 858 1287 1698 2547 2574 3113 3679 5094 6226 7358 9339 11037 18678 22074 28017 33111 40469 56034 66222 80938 121407 242814 364221 485977 728442 971954 1457931 2915862 4373793 5345747 6317701 8747586 10691494 12635402 16037241 18953103 32074482 37906206 48111723 56859309 69494711 96223446 113718618 137531491 138989422 208484133 275062982 412594473 416968266 625452399 825188946 1237783419 1250904798 1512846401 1787909383 2475566838 3025692802 3575818766 4538539203 5363728149 9077078406 10727456298 13615617609 16091184447 19667003213 27231235218 32182368894 39334006426 59001009639 118002019278 177003028917 354006057834