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34978411080 = 23325449216397
BaseRepresentation
bin100000100100111000…
…000011001001001000
310100021201001101111200
4200210320003021020
51033113433123310
624022512424200
72345540405604
oct404470031110
9110251041450
1034978411080
111391a445a58
126942248060
1333b5905282
14199b6ca504
15d9ac189c0
hex824e03248

34978411080 has 96 divisors (see below), whose sum is σ = 113933547000. Its totient is φ = 9306759168.

The previous prime is 34978411043. The next prime is 34978411087. The reversal of 34978411080 is 8011487943.

It is a happy number.

34978411080 is a `hidden beast` number, since 3 + 497 + 84 + 1 + 1 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32622861924 + 2355549156 = 180618^2 + 48534^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34978411087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53442 + ... + 269838.

Almost surely, 234978411080 is an apocalyptic number.

34978411080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34978411080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56966773500).

34978411080 is an abundant number, since it is smaller than the sum of its proper divisors (78955135920).

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

34978411080 is a wasteful number, since it uses less digits than its factorization.

34978411080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216863 (or 216856 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 34978411080 in words is "thirty-four billion, nine hundred seventy-eight million, four hundred eleven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 449 898 1347 1796 2245 2694 3592 4041 4490 5388 6735 8082 8980 10776 13470 16164 17960 20205 26940 32328 40410 53880 80820 161640 216397 432794 649191 865588 1081985 1298382 1731176 1947573 2163970 2596764 3245955 3895146 4327940 5193528 6491910 7790292 8655880 9737865 12983820 15580584 19475730 25967640 38951460 77902920 97162253 194324506 291486759 388649012 485811265 582973518 777298024 874460277 971622530 1165947036 1457433795 1748920554 1943245060 2331894072 2914867590 3497841108 3886490120 4372301385 5829735180 6995682216 8744602770 11659470360 17489205540 34978411080