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3480058368 = 2932773977
BaseRepresentation
bin1100111101101101…
…0111101000000000
322222112100021121200
43033123113220000
524111343331433
61333153421200
7152145002523
oct31733275000
98875307550
103480058368
1115264473a6
1281156a800
13435ca6947
1425028abba
151557bd613
hexcf6d7a00

3480058368 has 120 divisors (see below), whose sum is σ = 10066970628. Its totient is φ = 1157332992.

The previous prime is 3480058339. The next prime is 3480058399. The reversal of 3480058368 is 8638500843.

3480058368 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 0 + 583 + 68 = 666.

3480058368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3480056064 + 2304 = 58992^2 + 48^2 .

It is a super-2 number, since 2×34800583682 = 24221612489373646848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3561496 + ... + 3562472.

Almost surely, 23480058368 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 3480058368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033485314).

3480058368 is an abundant number, since it is smaller than the sum of its proper divisors (6586912260).

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

3480058368 is an equidigital number, since it uses as much as digits as its factorization.

3480058368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3480058368 is about 58992.0195280684. The cubic root of 3480058368 is about 1515.4054425760.

The spelling of 3480058368 in words is "three billion, four hundred eighty million, fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 773 977 1152 1536 1546 1954 2304 2319 2931 3092 3908 4608 4638 5862 6184 6957 7816 8793 9276 11724 12368 13914 15632 17586 18552 23448 24736 27828 31264 35172 37104 46896 49472 55656 62528 70344 74208 93792 98944 111312 125056 140688 148416 187584 197888 222624 250112 281376 296832 375168 395776 445248 500224 562752 593664 750336 755221 890496 1125504 1187328 1500672 1510442 1780992 2251008 2265663 3020884 3561984 4502016 4531326 6041768 6796989 9062652 12083536 13593978 18125304 24167072 27187956 36250608 48334144 54375912 72501216 96668288 108751824 145002432 193336576 217503648 290004864 386673152 435007296 580009728 870014592 1160019456 1740029184 3480058368