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303138972 = 223229293991
BaseRepresentation
bin10010000100011…
…000100010011100
3210010102001111100
4102010120202130
51110100421342
650025153100
710340432043
oct2204304234
9703361440
10303138972
11146128884
128562b790
134aa59796
142c38d55a
151b92de4c
hex1211889c

303138972 has 72 divisors (see below), whose sum is σ = 796199040. Its totient is φ = 97130880.

The previous prime is 303138961. The next prime is 303138989. The reversal of 303138972 is 279831303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305397 + ... + 306387.

It is an arithmetic number, because the mean of its divisors is an integer number (11058320).

Almost surely, 2303138972 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 303138972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398099520).

303138972 is an abundant number, since it is smaller than the sum of its proper divisors (493060068).

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

303138972 is a wasteful number, since it uses less digits than its factorization.

303138972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 303138972 is about 17410.8865943122. The cubic root of 303138972 is about 671.7596663959.

The spelling of 303138972 in words is "three hundred three million, one hundred thirty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 293 348 522 586 879 991 1044 1172 1758 1982 2637 2973 3516 3964 5274 5946 8497 8919 10548 11892 16994 17838 25491 28739 33988 35676 50982 57478 76473 86217 101964 114956 152946 172434 258651 290363 305892 344868 517302 580726 871089 1034604 1161452 1742178 2613267 3484356 5226534 8420527 10453068 16841054 25261581 33682108 50523162 75784743 101046324 151569486 303138972