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3445148496 = 2432919912437
BaseRepresentation
bin1100110101011000…
…1100101101010000
322220002122200021110
43031112030231100
524023424222441
61325505253320
7151242164466
oct31526145520
98802580243
103445148496
111508773069
12801934240
1342b9a2c0a
142497a0836
151526c4b16
hexcd58cb50

3445148496 has 80 divisors (see below), whose sum is σ = 9253872000. Its totient is φ = 1103122944.

The previous prime is 3445148489. The next prime is 3445148501. The reversal of 3445148496 is 6948415443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270790 + ... + 283226.

It is an arithmetic number, because the mean of its divisors is an integer number (115673400).

Almost surely, 23445148496 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 3445148496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626936000).

3445148496 is an abundant number, since it is smaller than the sum of its proper divisors (5808723504).

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

3445148496 is a wasteful number, since it uses less digits than its factorization.

3445148496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12676 (or 12670 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 3445148496 is about 58695.3873485813. The cubic root of 3445148496 is about 1510.3211889305.

The spelling of 3445148496 in words is "three billion, four hundred forty-five million, one hundred forty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 199 232 348 398 464 597 696 796 1194 1392 1592 2388 3184 4776 5771 9552 11542 12437 17313 23084 24874 34626 37311 46168 49748 69252 74622 92336 99496 138504 149244 198992 277008 298488 360673 596976 721346 1082019 1442692 2164038 2474963 2885384 4328076 4949926 5770768 7424889 8656152 9899852 14849778 17312304 19799704 29699556 39599408 59399112 71773927 118798224 143547854 215321781 287095708 430643562 574191416 861287124 1148382832 1722574248 3445148496