Search a number
-
+
375427416 = 233721321889
BaseRepresentation
bin10110011000001…
…001000101011000
3222011102200121010
4112120021011120
51232102134131
6101130413520
712206036400
oct2630110530
9864380533
10375427416
11182a121a1
12a58912a0
135ca19b00
1437c09800
1522e5cb46
hex16609158

375427416 has 144 divisors (see below), whose sum is σ = 1182875400. Its totient is φ = 98961408.

The previous prime is 375427397. The next prime is 375427427. The reversal of 375427416 is 614724573.

375427416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 197800 + ... + 199688.

Almost surely, 2375427416 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 375427416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591437700).

375427416 is an abundant number, since it is smaller than the sum of its proper divisors (807447984).

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

375427416 is a wasteful number, since it uses less digits than its factorization.

375427416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1914 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 375427416 is about 19375.9494218993. The cubic root of 375427416 is about 721.3986547044.

The spelling of 375427416 in words is "three hundred seventy-five million, four hundred twenty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 169 182 196 273 294 312 338 364 392 507 546 588 637 676 728 1014 1092 1176 1183 1274 1352 1889 1911 2028 2184 2366 2548 3549 3778 3822 4056 4732 5096 5667 7098 7556 7644 8281 9464 11334 13223 14196 15112 15288 16562 22668 24557 24843 26446 28392 33124 39669 45336 49114 49686 52892 66248 73671 79338 92561 98228 99372 105784 147342 158676 171899 185122 196456 198744 277683 294684 317352 319241 343798 370244 515697 555366 589368 638482 687596 740488 957723 1031394 1110732 1203293 1276964 1375192 1915446 2062788 2221464 2234687 2406586 2553928 3609879 3830892 4125576 4469374 4813172 6704061 7219758 7661784 8938748 9626344 13408122 14439516 15642809 17877496 26816244 28879032 31285618 46928427 53632488 62571236 93856854 125142472 187713708 375427416