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3504034368 = 263253114781
BaseRepresentation
bin1101000011011011…
…0101001001000000
3100001012110101111200
43100312311021000
524134013044433
61335411341200
7152555541432
oct32066651100
910035411450
103504034368
111538a3297a
128195b1800
1343ac4ca23
1425352c652
15157957613
hexd0db5240

3504034368 has 84 divisors (see below), whose sum is σ = 10233274428. Its totient is φ = 1145963520.

The previous prime is 3504034343. The next prime is 3504034409. The reversal of 3504034368 is 8634304053.

It can be written as a sum of positive squares in 2 ways, for example, as 895685184 + 2608349184 = 29928^2 + 51072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26863 + ... + 87918.

Almost surely, 23504034368 is an apocalyptic number.

It is an amenable number.

3504034368 is an abundant number, since it is smaller than the sum of its proper divisors (6729240060).

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

3504034368 is a wasteful number, since it uses less digits than its factorization.

3504034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114852 (or 114839 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3504034368 is about 59194.8846438609. The cubic root of 3504034368 is about 1518.8776294307.

The spelling of 3504034368 in words is "three billion, five hundred four million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 30528 114781 229562 344343 459124 688686 918248 1033029 1377372 1836496 2066058 2754744 3672992 4132116 5509488 6083393 7345984 8264232 11018976 12166786 16528464 18250179 22037952 24333572 33056928 36500358 48667144 54750537 66113856 73000716 97334288 109501074 146001432 194668576 219002148 292002864 389337152 438004296 584005728 876008592 1168011456 1752017184 3504034368