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34211103440 = 2452318592991
BaseRepresentation
bin11111110111001001…
…000000001011010000
310021022020020010022012
4133313021000023100
51030031020302230
623414422402052
72320532403233
oct376711001320
9107266203265
1034211103440
1113566304408
126769290328
1332c295a997
14192783141a
15d5369d395
hex7f72402d0

34211103440 has 40 divisors (see below), whose sum is σ = 82999116288. Its totient is φ = 13089464960.

The previous prime is 34211103431. The next prime is 34211103461. The reversal of 34211103440 is 4430111243.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9294656 + ... + 9298335.

Almost surely, 234211103440 is an apocalyptic number.

It is an amenable number.

34211103440 is an abundant number, since it is smaller than the sum of its proper divisors (48788012848).

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

34211103440 is a wasteful number, since it uses less digits than its factorization.

34211103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18593027 (or 18593021 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 34211103440 its reverse (4430111243), we get a palindrome (38641214683).

The spelling of 34211103440 in words is "thirty-four billion, two hundred eleven million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 18592991 37185982 74371964 92964955 148743928 185929910 297487856 371859820 427638793 743719640 855277586 1487439280 1710555172 2138193965 3421110344 4276387930 6842220688 8552775860 17105551720 34211103440