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3364154432 = 26238925679
BaseRepresentation
bin1100100010000100…
…1110110001000000
322200110020202022022
43020201032301000
523342210420212
61313453301012
7146236561262
oct31041166100
98613222268
103364154432
111476a83021
1279a794768
13417c85232
1423cb19b32
1514a526772
hexc884ec40

3364154432 has 56 divisors (see below), whose sum is σ = 7044537600. Its totient is φ = 1590803456.

The previous prime is 3364154413. The next prime is 3364154449. The reversal of 3364154432 is 2344514633.

It is a super-2 number, since 2×33641544322 = 22635070084690485248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3364154392 and 3364154401.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 118169 + ... + 143847.

Almost surely, 23364154432 is an apocalyptic number.

3364154432 is a gapful number since it is divisible by the number (32) 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 3364154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522268800).

3364154432 is an abundant number, since it is smaller than the sum of its proper divisors (3680383168).

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

3364154432 is a wasteful number, since it uses less digits than its factorization.

3364154432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25803 (or 25793 counting only the distinct ones).

The product of its digits is 103680, while the sum is 35.

The square root of 3364154432 is about 58001.3312950660. The cubic root of 3364154432 is about 1498.3915250072.

The spelling of 3364154432 in words is "three billion, three hundred sixty-four million, one hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 178 184 356 368 712 736 1424 1472 2047 2848 4094 5696 8188 16376 25679 32752 51358 65504 102716 131008 205432 410864 590617 821728 1181234 1643456 2285431 2362468 4570862 4724936 9141724 9449872 18283448 18899744 36566896 37799488 52564913 73133792 105129826 146267584 210259652 420519304 841038608 1682077216 3364154432