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34370081024 = 28172464561
BaseRepresentation
bin100000000000100111…
…011101000100000000
310021201022101000112212
4200000213131010000
51030342220043044
623442302041252
72324502603566
oct400047350400
9107638330485
1034370081024
1113638018644
1267b2579228
133319880c66
1419409b5a36
15d62602a9e
hex8009dd100

34370081024 has 54 divisors (see below), whose sum is σ = 72879092874. Its totient is φ = 16174120960.

The previous prime is 34370081023. The next prime is 34370081047. The reversal of 34370081024 is 42018007343.

It can be written as a sum of positive squares in 3 ways, for example, as 17891737600 + 16478343424 = 133760^2 + 128368^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34370081023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 158297 + ... + 306264.

It is an arithmetic number, because the mean of its divisors is an integer number (1349612831).

Almost surely, 234370081024 is an apocalyptic number.

34370081024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34370081024 is an abundant number, since it is smaller than the sum of its proper divisors (38509011850).

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

34370081024 is an equidigital number, since it uses as much as digits as its factorization.

34370081024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464611 (or 464580 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 34370081024 its reverse (42018007343), we get a palindrome (76388088367).

The spelling of 34370081024 in words is "thirty-four billion, three hundred seventy million, eighty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 2176 2312 4352 4624 9248 18496 36992 73984 464561 929122 1858244 3716488 7432976 7897537 14865952 15795074 29731904 31590148 59463808 63180296 118927616 126360592 134258129 252721184 268516258 505442368 537032516 1010884736 1074065032 2021769472 2148130064 4296260128 8592520256 17185040512 34370081024