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354435241404 = 2232931193170231
BaseRepresentation
bin1010010100001011111…
…11001001010110111100
31020212212012102210210010
411022011333021112330
521301340410211104
6430454133143220
734415143562136
oct5120577112674
91225765383703
10354435241404
111273514a9912
125883778ab10
132756672021a
1413224922056
1593465ee489
hex5285fc95bc

354435241404 has 96 divisors (see below), whose sum is σ = 887712215040. Its totient is φ = 109818777600.

The previous prime is 354435241393. The next prime is 354435241423. The reversal of 354435241404 is 404142534453.

It is a super-2 number, since 2×3544352414042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1996969 + ... + 2167199.

It is an arithmetic number, because the mean of its divisors is an integer number (9247002240).

Almost surely, 2354435241404 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 354435241404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443856107520).

354435241404 is an abundant number, since it is smaller than the sum of its proper divisors (533276973636).

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

354435241404 is a wasteful number, since it uses less digits than its factorization.

354435241404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170491 (or 170489 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 354435241404 its reverse (404142534453), we get a palindrome (758577775857).

The spelling of 354435241404 in words is "three hundred fifty-four billion, four hundred thirty-five million, two hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 193 348 372 386 579 772 899 1158 1798 2316 2697 3596 5394 5597 5983 10788 11194 11966 16791 17949 22388 23932 33582 35898 67164 71796 170231 173507 340462 347014 510693 520521 680924 694028 1021386 1041042 2042772 2082084 4936699 5277161 9873398 10554322 14810097 15831483 19746796 21108644 29620194 31662966 32854583 59240388 63325932 65709166 98563749 131418332 153037669 197127498 306075338 394254996 459113007 612150676 918226014 952782907 1018492073 1836452028 1905565814 2036984146 2858348721 3055476219 3811131628 4073968292 5716697442 6110952438 11433394884 12221904876 29536270117 59072540234 88608810351 118145080468 177217620702 354435241404