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34253045420 = 2251136012141
BaseRepresentation
bin11111111001101000…
…111111111010101100
310021102011010222212212
4133321220333322230
51030122234423140
623422521345552
72321552040116
oct377150777254
9107364128785
1034253045420
1113587a51000
12677b3382b8
1332cb554419
14192d22c3b6
15d571d5765
hex7f9a3feac

34253045420 has 96 divisors (see below), whose sum is σ = 79287792192. Its totient is φ = 12429120000.

The previous prime is 34253045381. The next prime is 34253045423. The reversal of 34253045420 is 2454035243.

It is a super-2 number, since 2×342530454202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34253045423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15997550 + ... + 15999690.

It is an arithmetic number, because the mean of its divisors is an integer number (825914502).

Almost surely, 234253045420 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 34253045420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39643896096).

34253045420 is an abundant number, since it is smaller than the sum of its proper divisors (45034746772).

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

34253045420 is a wasteful number, since it uses less digits than its factorization.

34253045420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 34253045420 in words is "thirty-four billion, two hundred fifty-three million, forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 601 605 1202 1210 1331 2141 2404 2420 2662 3005 4282 5324 6010 6611 6655 8564 10705 12020 13222 13310 21410 23551 26444 26620 33055 42820 47102 66110 72721 94204 117755 132220 145442 235510 259061 290884 363605 471020 518122 727210 799931 1036244 1286741 1295305 1454420 1599862 2573482 2590610 2849671 3199724 3999655 5146964 5181220 5699342 6433705 7999310 11398684 12867410 14154151 14248355 15998620 25734820 28308302 28496710 56616604 56993420 70770755 141541510 155695661 283083020 311391322 622782644 778478305 1556956610 1712652271 3113913220 3425304542 6850609084 8563261355 17126522710 34253045420