Search a number
-
+
102337344 = 2634191039
BaseRepresentation
bin1100001100110…
…00101101000000
321010120021110000
412012120231000
5202144243334
614053240000
72351565414
oct606305500
9233507400
10102337344
115284861a
122a333000
1318281655
14d83cd44
158eb7299
hex6198b40

102337344 has 140 divisors (see below), whose sum is σ = 319633600. Its totient is φ = 32285952.

The previous prime is 102337309. The next prime is 102337369. The reversal of 102337344 is 443733201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97977 + ... + 99015.

Almost surely, 2102337344 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 102337344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159816800).

102337344 is an abundant number, since it is smaller than the sum of its proper divisors (217296256).

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

102337344 is a wasteful number, since it uses less digits than its factorization.

102337344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 102337344 is about 10116.1921689932. The cubic root of 102337344 is about 467.7473982001.

The spelling of 102337344 in words is "one hundred two million, three hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1039 1216 1296 1368 1539 1728 1824 2052 2078 2592 2736 3078 3117 3648 4104 4156 5184 5472 6156 6234 8208 8312 9351 10944 12312 12468 16416 16624 18702 19741 24624 24936 28053 32832 33248 37404 39482 49248 49872 56106 59223 66496 74808 78964 84159 98496 99744 112212 118446 149616 157928 168318 177669 199488 224424 236892 299232 315856 336636 355338 448848 473784 533007 598464 631712 673272 710676 897696 947568 1066014 1263424 1346544 1421352 1599021 1795392 1895136 2132028 2693088 2842704 3198042 3790272 4264056 5386176 5685408 6396084 8528112 11370816 12792168 17056224 25584336 34112448 51168672 102337344