Search a number
-
+
703381968 = 24351311381
BaseRepresentation
bin101001111011001…
…100000111010000
31211000112111200000
4221323030013100
52420031210333
6153443530000
723300435202
oct5173140720
91730474600
10703381968
1133104a313
12177689900
13b2954863
14695b8772
1541b3e713
hex29ecc1d0

703381968 has 120 divisors (see below), whose sum is σ = 2058472416. Its totient is φ = 232502400.

The previous prime is 703381963. The next prime is 703381969. The reversal of 703381968 is 869183307.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (703381963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508638 + ... + 510018.

Almost surely, 2703381968 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 703381968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029236208).

703381968 is an abundant number, since it is smaller than the sum of its proper divisors (1355090448).

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

703381968 is a wasteful number, since it uses less digits than its factorization.

703381968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 703381968 is about 26521.3492869424. The cubic root of 703381968 is about 889.3316397741.

The spelling of 703381968 in words is "seven hundred three million, three hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 243 262 324 393 432 486 524 648 786 972 1048 1179 1296 1381 1572 1944 2096 2358 2762 3144 3537 3888 4143 4716 5524 6288 7074 8286 9432 10611 11048 12429 14148 16572 18864 21222 22096 24858 28296 31833 33144 37287 42444 49716 56592 63666 66288 74574 84888 99432 111861 127332 149148 169776 180911 198864 223722 254664 298296 335583 361822 447444 509328 542733 596592 671166 723644 894888 1085466 1342332 1447288 1628199 1789776 2170932 2684664 2894576 3256398 4341864 4884597 5369328 6512796 8683728 9769194 13025592 14653791 19538388 26051184 29307582 39076776 43961373 58615164 78153552 87922746 117230328 175845492 234460656 351690984 703381968