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1400227344 = 243319315503
BaseRepresentation
bin101001101110101…
…1100011000010000
310121120202220211000
41103131130120100
510331424233334
6350535422000
746461510315
oct12335343020
93546686730
101400227344
1165943458a
12330b24900
1319412b0b9
14d3d70d0c
1582ddc299
hex5375c610

1400227344 has 160 divisors (see below), whose sum is σ = 4367974400. Its totient is φ = 427835520.

The previous prime is 1400227333. The next prime is 1400227391. The reversal of 1400227344 is 4437220041.

1400227344 is a `hidden beast` number, since 1 + 400 + 227 + 34 + 4 = 666.

It is a super-2 number, since 2×14002273442 = 3921273229770588672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251697 + ... + 257199.

It is an arithmetic number, because the mean of its divisors is an integer number (27299840).

Almost surely, 21400227344 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 1400227344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183987200).

1400227344 is an abundant number, since it is smaller than the sum of its proper divisors (2967747056).

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

1400227344 is a wasteful number, since it uses less digits than its factorization.

1400227344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1400227344 is about 37419.6117564039. The cubic root of 1400227344 is about 1118.7494929037.

Adding to 1400227344 its reverse (4437220041), we get a palindrome (5837447385).

The spelling of 1400227344 in words is "one billion, four hundred million, two hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 54 57 62 72 76 93 108 114 124 144 152 171 186 216 228 248 279 304 342 372 432 456 496 513 558 589 684 744 837 912 1026 1116 1178 1368 1488 1674 1767 2052 2232 2356 2736 3348 3534 4104 4464 4712 5301 5503 6696 7068 8208 9424 10602 11006 13392 14136 15903 16509 21204 22012 28272 31806 33018 42408 44024 49527 63612 66036 84816 88048 99054 104557 127224 132072 148581 170593 198108 209114 254448 264144 297162 313671 341186 396216 418228 511779 594324 627342 682372 792432 836456 941013 1023558 1188648 1254684 1364744 1535337 1672912 1882026 2047116 2377296 2509368 2729488 2823039 3070674 3241267 3764052 4094232 4606011 5018736 5646078 6141348 6482534 7528104 8188464 9212022 9723801 11292156 12282696 12965068 15056208 18424044 19447602 22584312 24565392 25930136 29171403 36848088 38895204 45168624 51860272 58342806 73696176 77790408 87514209 116685612 155580816 175028418 233371224 350056836 466742448 700113672 1400227344