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3433056768 = 29325314057
BaseRepresentation
bin1100110010100000…
…0100101000000000
322212020220100112200
43030220010220000
524012330304033
61324354153200
7151034333601
oct31450045000
98766810480
103433056768
1115019643a9
127b9882800
1342932b24b
14247d33da8
151515d7013
hexcca04a00

3433056768 has 120 divisors (see below), whose sum is σ = 10095696468. Its totient is φ = 1122680832.

The previous prime is 3433056763. The next prime is 3433056769. The reversal of 3433056768 is 8676503343.

It can be written as a sum of positive squares in 2 ways, for example, as 3312232704 + 120824064 = 57552^2 + 10992^2 .

It is not an unprimeable number, because it can be changed into a prime (3433056763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237196 + ... + 251252.

Almost surely, 23433056768 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 3433056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047848234).

3433056768 is an abundant number, since it is smaller than the sum of its proper divisors (6662639700).

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

3433056768 is a wasteful number, since it uses less digits than its factorization.

3433056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14134 (or 14115 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3433056768 is about 58592.2927354784. The cubic root of 3433056768 is about 1508.5521504817.

The spelling of 3433056768 in words is "three billion, four hundred thirty-three million, fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1152 1272 1536 1696 1908 2304 2544 3392 3816 4608 5088 6784 7632 10176 13568 14057 15264 20352 27136 28114 30528 40704 42171 56228 61056 81408 84342 112456 122112 126513 168684 224912 244224 253026 337368 449824 506052 674736 745021 899648 1012104 1349472 1490042 1799296 2024208 2235063 2698944 2980084 3598592 4048416 4470126 5397888 5960168 6705189 7197184 8096832 8940252 10795776 11920336 13410378 16193664 17880504 21591552 23840672 26820756 32387328 35761008 47681344 53641512 64774656 71522016 95362688 107283024 143044032 190725376 214566048 286088064 381450752 429132096 572176128 858264192 1144352256 1716528384 3433056768