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290076984 = 233317197401
BaseRepresentation
bin10001010010100…
…011100100111000
3202012211102211000
4101102203210320
51043224430414
644441205000
710121420331
oct2122434470
9665742730
10290076984
1113981714a
1281190760
13481352b2
142a74d288
151a6edb09
hex114a3938

290076984 has 128 divisors (see below), whose sum is σ = 859636800. Its totient is φ = 90316800.

The previous prime is 290076953. The next prime is 290076991. The reversal of 290076984 is 489670092.

It is a happy number.

290076984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 723184 + ... + 723584.

Almost surely, 2290076984 is an apocalyptic number.

290076984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290076984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429818400).

290076984 is an abundant number, since it is smaller than the sum of its proper divisors (569559816).

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

290076984 is a wasteful number, since it uses less digits than its factorization.

290076984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

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

The square root of 290076984 is about 17031.6465440074. The cubic root of 290076984 is about 661.9691603393.

The spelling of 290076984 in words is "two hundred ninety million, seventy-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 197 204 216 306 394 401 408 459 591 612 788 802 918 1182 1203 1224 1576 1604 1773 1836 2364 2406 3208 3349 3546 3609 3672 4728 4812 5319 6698 6817 7092 7218 9624 10047 10638 10827 13396 13634 14184 14436 20094 20451 21276 21654 26792 27268 28872 30141 40188 40902 42552 43308 54536 60282 61353 78997 80376 81804 86616 90423 120564 122706 157994 163608 180846 184059 236991 241128 245412 315988 361692 368118 473982 490824 631976 710973 723384 736236 947964 1342949 1421946 1472472 1895928 2132919 2685898 2843892 4028847 4265838 5371796 5687784 8057694 8531676 10743592 12086541 16115388 17063352 24173082 32230776 36259623 48346164 72519246 96692328 145038492 290076984