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3455121024 = 27326174861
BaseRepresentation
bin1100110111110000…
…1111011010000000
322220210102100000100
43031330033122000
524034002333044
61330503122400
7151423021065
oct31574173200
98823370010
103455121024
111513364623
12805143400
13430a85114
1424ac38c6c
151534e4869
hexcdf0f680

3455121024 has 96 divisors (see below), whose sum is σ = 9960633540. Its totient is φ = 1149603840.

The previous prime is 3455121017. The next prime is 3455121031. The reversal of 3455121024 is 4201215543.

3455121024 is a `hidden beast` number, since 3 + 4 + 551 + 2 + 102 + 4 = 666.

3455121024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3455121017) and next prime (3455121031).

It can be written as a sum of positive squares in 2 ways, for example, as 3443342400 + 11778624 = 58680^2 + 3432^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34551210242 = 23875722580973617152, which contains 22 as substring.

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, 708354 + ... + 713214.

Almost surely, 23455121024 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 3455121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980316770).

3455121024 is an abundant number, since it is smaller than the sum of its proper divisors (6505512516).

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

3455121024 is a wasteful number, since it uses less digits than its factorization.

3455121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3455121024 is about 58780.2775087018. The cubic root of 3455121024 is about 1511.7770730377. Note that the first 3 decimals are identical.

Adding to 3455121024 its reverse (4201215543), we get a palindrome (7656336567).

The spelling of 3455121024 in words is "three billion, four hundred fifty-five million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 617 1152 1234 1851 2468 3702 4861 4936 5553 7404 9722 9872 11106 14583 14808 19444 19744 22212 29166 29616 38888 39488 43749 44424 58332 59232 77776 78976 87498 88848 116664 118464 155552 174996 177696 233328 236928 311104 349992 355392 466656 622208 699984 710784 933312 1399968 1866624 2799936 2999237 5599872 5998474 8997711 11996948 17995422 23993896 26993133 35990844 47987792 53986266 71981688 95975584 107972532 143963376 191951168 215945064 287926752 383902336 431890128 575853504 863780256 1151707008 1727560512 3455121024