Search a number
-
+
354828874940 = 2253119310932713
BaseRepresentation
bin1010010100111010111…
…00101111010010111100
31020220212122010110110222
411022131130233102330
521303142142444230
6431001154120512
734430663446601
oct5123534572274
91226778113428
10354828874940
11127533716591
1258927580138
13275ca142a87
1413260d0a6a8
15936ae566e5
hex529d72f4bc

354828874940 has 96 divisors (see below), whose sum is σ = 774155429376. Its totient is φ = 136466104320.

The previous prime is 354828874921. The next prime is 354828874969. The reversal of 354828874940 is 49478828453.

It is a Harshad number since it is a multiple of its sum of digits (62).

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, 130787024 + ... + 130789736.

It is an arithmetic number, because the mean of its divisors is an integer number (8064119056).

Almost surely, 2354828874940 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 354828874940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387077714688).

354828874940 is an abundant number, since it is smaller than the sum of its proper divisors (419326554436).

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

354828874940 is a wasteful number, since it uses less digits than its factorization.

354828874940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 62.

The spelling of 354828874940 in words is "three hundred fifty-four billion, eight hundred twenty-eight million, eight hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 193 310 386 620 772 965 1093 1930 2186 2713 3860 4372 5426 5465 5983 10852 10930 11966 13565 21860 23932 27130 29915 33883 54260 59830 67766 84103 119660 135532 168206 169415 210949 336412 338830 420515 421898 523609 677660 841030 843796 1047218 1054745 1682060 2094436 2109490 2618045 2965309 4218980 5236090 5930618 6539419 10472180 11861236 13078838 14826545 16231879 26157676 29653090 32463758 32697095 59306180 64927516 65394190 81159395 91924579 130788380 162318790 183849158 324637580 367698316 459622895 572304637 919245790 1144609274 1838491580 2289218548 2861523185 5723046370 11446092740 17741443747 35482887494 70965774988 88707218735 177414437470 354828874940