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1400230432 = 251722329227
BaseRepresentation
bin101001101110101…
…1101001000100000
310121120210002001101
41103131131020200
510331424333212
6350535444144
746461522316
oct12335351040
93546702041
101400230432
11659436937
12330b26654
1319412c623
14d3d720b6
1582ddd157
hex5375d220

1400230432 has 144 divisors (see below), whose sum is σ = 3175018560. Its totient is φ = 605868032.

The previous prime is 1400230411. The next prime is 1400230453. The reversal of 1400230432 is 2340320041.

It is an interprime number because it is at equal distance from previous prime (1400230411) and next prime (1400230453).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6168303 + ... + 6168529.

It is an arithmetic number, because the mean of its divisors is an integer number (22048740).

Almost surely, 21400230432 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 1400230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587509280).

1400230432 is an abundant number, since it is smaller than the sum of its proper divisors (1774788128).

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

1400230432 is a wasteful number, since it uses less digits than its factorization.

1400230432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1400230432 is about 37419.6530181668. The cubic root of 1400230432 is about 1118.7503153167.

Adding to 1400230432 its reverse (2340320041), we get a palindrome (3740550473).

The spelling of 1400230432 in words is "one billion, four hundred million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 23 29 32 34 46 58 68 92 116 136 184 227 232 272 289 368 391 454 464 493 544 578 667 736 782 908 928 986 1156 1334 1564 1816 1972 2312 2668 3128 3632 3859 3944 4624 5221 5336 6256 6583 6647 7264 7718 7888 8381 9248 10442 10672 11339 12512 13166 13294 15436 15776 16762 20884 21344 22678 26332 26588 30872 33524 41768 45356 52664 53176 61744 65603 67048 83536 88757 90712 105328 106352 111911 123488 131206 134096 151409 167072 177514 181424 192763 210656 212704 223822 262412 268192 302818 355028 362848 385526 447644 524824 605636 710056 771052 895288 1049648 1211272 1420112 1508869 1542104 1790576 1902487 2099296 2422544 2573953 2840224 3017738 3084208 3581152 3804974 4845088 5147906 6035476 6168416 7609948 10295812 12070952 15219896 20591624 24141904 30439792 41183248 43757201 48283808 60879584 82366496 87514402 175028804 350057608 700115216 1400230432