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397144748 = 2271121371127
BaseRepresentation
bin10111101010111…
…111001010101100
31000200022001011202
4113222333022230
51303132112443
6103224105032
712561450260
oct2752771254
91020261152
10397144748
111941a5800
12b1005178
1364381ac0
143aa600a0
1524cec7b8
hex17abf2ac

397144748 has 144 divisors (see below), whose sum is σ = 960970752. Its totient is φ = 139708800.

The previous prime is 397144721. The next prime is 397144777. The reversal of 397144748 is 847441793.

It is a happy number.

It is a super-3 number, since 3×3971447483 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3127061 + ... + 3127187.

It is an arithmetic number, because the mean of its divisors is an integer number (6673408).

Almost surely, 2397144748 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 397144748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480485376).

397144748 is an abundant number, since it is smaller than the sum of its proper divisors (563826004).

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

397144748 is a wasteful number, since it uses less digits than its factorization.

397144748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its digits is 677376, while the sum is 47.

The square root of 397144748 is about 19928.4908610763. The cubic root of 397144748 is about 735.0489720096.

The spelling of 397144748 in words is "three hundred ninety-seven million, one hundred forty-four thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 71 77 91 121 127 142 143 154 182 242 254 284 286 308 364 484 497 508 572 781 847 889 923 994 1001 1397 1562 1573 1651 1694 1778 1846 1988 2002 2794 3124 3146 3302 3388 3556 3692 4004 5467 5588 6292 6461 6604 8591 9017 9779 10153 10934 11011 11557 12922 15367 17182 18034 18161 19558 20306 21868 22022 23114 25844 30734 34364 36068 36322 39116 40612 44044 46228 60137 61468 63119 71071 72644 99187 107569 111683 117221 120274 126238 127127 142142 198374 199771 215138 223366 234442 240548 252476 254254 284284 396748 399542 430276 446732 468884 508508 694309 781781 799084 820547 1091057 1289431 1388618 1398397 1563562 1641094 2182114 2578862 2777236 2796794 3127124 3282188 4364228 5157724 5593588 7637399 9026017 14183741 15274798 18052034 28367482 30549596 36104068 56734964 99286187 198572374 397144748