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3434698842640 = 245133302595041
BaseRepresentation
bin110001111110110100000…
…000010010001000010000
3110011100120001211111010221
4301332310000102020100
5422233230400431030
611145513500202424
7503102016311452
oct61766400221020
913140501744127
103434698842640
111104713a5512a
12475801839414
131bbb76b7a3a0
14bc3515b02d2
155e527530e7a
hex31fb4012210

3434698842640 has 40 divisors (see below), whose sum is σ = 8599957489368. Its totient is φ = 1268196495360.

The previous prime is 3434698842611. The next prime is 3434698842697. The reversal of 3434698842640 is 462488964343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 334972397824 + 3099726444816 = 578768^2 + 1760604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34346988426402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1651296481 + ... + 1651298560.

Almost surely, 23434698842640 is an apocalyptic number.

It is an amenable number.

3434698842640 is an abundant number, since it is smaller than the sum of its proper divisors (5165258646728).

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

3434698842640 is a wasteful number, since it uses less digits than its factorization.

3434698842640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302595067 (or 3302595061 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 61.

The spelling of 3434698842640 in words is "three trillion, four hundred thirty-four billion, six hundred ninety-eight million, eight hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3302595041 6605190082 13210380164 16512975205 26420760328 33025950410 42933735533 52841520656 66051900820 85867471066 132103801640 171734942132 214668677665 264207603280 343469884264 429337355330 686939768528 858674710660 1717349421320 3434698842640